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Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the...

Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the surface S is the part of the paraboloid : z = 4- x^2 - y^2 that lies above the xy-plane. Assume C is oriented counterclockwise when viewed from above.

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